Kreĭn space unitary dilations of Hilbert space holomorphic semigroups

• Autores: Stefania Marcantognini
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 61, Nº. 1, 2020, págs. 145-160
• Idioma: inglés
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• Resumen

  • The infinitesimal generator A of a strongly continuous semigroup on a Hilbert space is assumed to satisfy that Bβ := A−β is a sectorial operator of angle less than π 2 for some β ≥ 0. If Bβ is dissipative in some equivalent scalar product then the Naimark–Arocena representation theorem is applied to obtain a Krein space unitary dilation of the semigroup.